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Function Spaces and Applications

Proceedings of the US-Swedish Seminar held in Lund, Sweden, June 15-21, 1986

  • Conference proceedings
  • © 1988

Overview

Editors:
  1. Michael Cwikel
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  2. Jaak Peetre
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  3. Yoram Sagher
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  4. Hans Wallin
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1302)

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Table of contents (37 papers)

  1. Front Matter

    Pages I-VI
    Download chapter PDF

  2. Marcel Riesz in Lund

    • Jaak Peetre
    Pages 1-10

  3. Interpolation of tent spaces and applications

    • J. Alvarez, M. Milman
    Pages 11-21

  4. Toeplitz liftings of hankel forms

    • Mischa Cotlar, Cora Sadosky
    Pages 22-43

  5. Some recent developments in fourier analysis and HP theory on product domains — II

    • Robert Fefferman
    Pages 44-51

  6. A unified approach to atomic decompositions via integrable group representations

    • Hans G. Feichtinger, Karlheinz Gröchenig
    Pages 52-73

  7. The work of coifman and semmes on complex interpolation, several complex variables, and PDE’s

    • Richard Rochberg
    Pages 74-90

  8. Interpolation of quasinormed spaces by the complex method

    • Richard Rochberg, Anita Tabacco Vignati, Marco Vignati, Guido Weiss
    Pages 91-98

  9. New and old function spaces

    • Hans Wallin
    Pages 99-114

  10. A note on choquet integrals with respect to Hausdorff capacity

    • David R. Adams
    Pages 115-124

  11. Besov norms of rational functions

    • J. Arazy, S. D. Fisher, J. Peetre
    Pages 125-129

  12. Functions of bounded mean oscillation and Hausdorff-Young type theorems

    • Jöran Bergh
    Pages 130-136

  13. Remarks on local function spaces

    • Bogdan Bojarski
    Pages 137-152

  14. The classes Va are monotone

    • Lennart Bondesson, Jaak Peetre
    Pages 153-157

  15. Hardy-Sobolev spaces and Besov spaces with a function parameter

    • Fernando Cobos, Dicesar Lass Fernandez
    Pages 158-170

  16. An extension of fourier type to quasi-Banach spaces

    • Michael Cwikel, Yoram Sagher
    Pages 171-176

  17. Ï„-Moduli and interpolation

    • L. T. Dechevski
    Pages 177-190

  18. Interpolation spaces and non-linear approximation

    • R. A. DeVore, V. A. Popov
    Pages 191-205

  19. Atomic decompositions in Hardy spaces on bounded lipschitz domains

    • Klas Forsman
    Pages 206-222

  20. The φ-transform and applications to distribution spaces

    • Michael Frazier, Björn Jawerth
    Pages 223-246
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Keywords

About this book

This seminar is a loose continuation of two previous conferences held in Lund (1982, 1983), mainly devoted to interpolation spaces, which resulted in the publication of the Lecture Notes in Mathematics Vol. 1070. This explains the bias towards that subject. The idea this time was, however, to bring together mathematicians also from other related areas of analysis. To emphasize the historical roots of the subject, the collection is preceded by a lecture on the life of Marcel Riesz.

Bibliographic Information

  • Book Title: Function Spaces and Applications

  • Book Subtitle: Proceedings of the US-Swedish Seminar held in Lund, Sweden, June 15-21, 1986

  • Editors: Michael Cwikel, Jaak Peetre, Yoram Sagher, Hans Wallin

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0078857

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • Softcover ISBN: 978-3-540-18905-3Published: 24 February 1988

  • eBook ISBN: 978-3-540-38841-8Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 448

  • Topics: Analysis

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